A screenshot of the source code for the spline algorithm. It compares quite favorably to any way you might do this without #geometricalgebra.
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Hashtag
#GeometricAlgebra
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I'm starting to add conformal geometry to my sketchbook. This way I can animate funky nonlinear transformations like this one! (in this case, parabolic Möbius maps)
Live version: ptrgags.dev/p5-sketchboo...
#p5js
#creativecoding
#geometricalgebra #mathsky
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Lloyd's Relaxation is a cousin of k-means that’s still used for quantization, dithering, and stippling. With the pieces from yesterday, it’s only about 10 lines of code…
en.wikipedia.org/wiki/Lloyd's...
#geometer #geometricalgebra
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The same BYO algebra mesh topology implementation from yesterday being used with CGA2D/CGA3D to make computing Delaunay and Voronoi triangulation easy and dimension agnostic. The code is the same for 2D and 3D, just parameterized with functions from the two algebras.
#geometer #geometricalgebra
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Projecting onto the Unit Dual Quaternion Set
Chunfeng Cui, Jiaxin Xie et al.
Paper
Details
#UnitDualQuaternions #GeometricAlgebra #ComputerGraphics
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Geometric Algebra Method Improves Unbalanced Power System Analysis
A geometric‑algebra transform identifies the voltage plane with just two measurements; it was tested on a four‑wire three‑phase bench using hardware‑in‑loop. Read more: getnews.me/geometric-algebra-method... #geometricalgebra #powersystems #unbalanced
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Ellipse Fitting and Geometric Algebra Improve Fault Detection
Ellipse fitting and geometric algebra can spot inverter‑based grid faults within a quarter‑cycle, distinguishing line‑to‑ground, line‑to‑line and three‑phase events. Read more: getnews.me/ellipse-fitting-and-geom... #ellipsefitting #geometricalgebra
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We're happy to announce our keynote speakers for ENGAGE2025 workshop! Join us on July 14th as Profs Hongbo Li, Francisco G. Montoya, and Carlile Lavor share their insights on Geometric Algebra. Abstracts of their presentations will be posted on bluesky soon! #GeometricAlgebra
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ENGAGE workshop is now on bluesky ! This workshop focuses on Geometric Algebra. Deadlines approaching:
Abstract submission: April 31, 2025.
Paper submission: May 2, 2025.
Check it out! engage-workshop.org
#GeometricAlgebra
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Geometric Algebra unifies vector math, making complex geometric operations more intuitive in 2D/3D space
https://bivector.net/
#mathematics #vectors #geometricalgebra #linearalgebra #transformations
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'Linear algebra' and 'matrix algebra' are not synonymous. A matrix representation of a linear algebra adds extraneous structure, masks the inherent structure, and may not be a computationally efficient representation. #Quaternion #GeometricAlgebra
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Interesting – must dig deeper:
“Look, Ma, No Matrices!”, Steven De Keninck (enkimute.github.io/LookMaNoMatr...).
Via HN: news.ycombinator.com/item?id=3953...
#Graphics #ComputerGraphics #Matrices #GeometricAlgebra #ProjectiveGeometricAlgebra #PGA #Mathematics #GraphicsProgramming #Programming
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